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An Explanation of Optimal Each-Way Bets based on Non-Expected Utility Theory


  • David A. Peel
  • Davind Law


The purpose in this paper is to demonstrate how the non-expected utility models of Markowitz and Kahneman and Tversky can explain why an agent, chooses to bet each way on a horse. We also show that that appeal to moments of return, such as a preference for skewness of return, ceteris paribus, to explain the choice of the each way gamble over the single win gamble is, in general, invalid.

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  • David A. Peel & Davind Law, 2009. "An Explanation of Optimal Each-Way Bets based on Non-Expected Utility Theory," Journal of Gambling Business and Economics, University of Buckingham Press, vol. 3(2), pages 15-35, September.
  • Handle: RePEc:buc:jgbeco:v:3:y:2009:i:2:p:15-35

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    1. repec:feb:framed:0074 is not listed on IDEAS
    2. Michael Cain & David Law & David Peel, 2008. "Bounded cumulative prospect theory: some implications for gambling outcomes," Applied Economics, Taylor & Francis Journals, vol. 40(1), pages 5-15.
    3. Chamberlain, Gary, 1983. "A characterization of the distributions that imply mean--Variance utility functions," Journal of Economic Theory, Elsevier, vol. 29(1), pages 185-201, February.
    4. Farrell, Lisa & Walker, Ian, 1999. "The welfare effects of lotto: evidence from the UK," Journal of Public Economics, Elsevier, vol. 72(1), pages 99-120, April.
    5. Hans P. Binswanger, 1980. "Attitudes Toward Risk: Experimental Measurement in Rural India," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 62(3), pages 395-407.
    6. Ali, Mukhtar M, 1977. "Probability and Utility Estimates for Racetrack Bettors," Journal of Political Economy, University of Chicago Press, vol. 85(4), pages 803-815, August.
    7. Matthew Rabin, 2000. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Econometrica, Econometric Society, vol. 68(5), pages 1281-1292, September.
    8. Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
    9. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    10. Hartog, Joop & Ferrer-i-Carbonell, Ada & Jonker, Nicole, 2002. "Linking Measured Risk Aversion to Individual Characteristics," Kyklos, Wiley Blackwell, vol. 55(1), pages 3-26.
    11. Vaughan Williams, Leighton, 1999. "Information Efficiency in Betting Markets: A Survey," Bulletin of Economic Research, Wiley Blackwell, vol. 51(1), pages 1-30, January.
    12. Harry Markowitz, 1952. "The Utility of Wealth," Journal of Political Economy, University of Chicago Press, vol. 60, pages 151-151.
    13. Meyer, Jack, 1987. "Two-moment Decision Models and Expected Utility Maximization," American Economic Review, American Economic Association, vol. 77(3), pages 421-430, June.
    14. Milton Friedman & L. J. Savage, 1948. "The Utility Analysis of Choices Involving Risk," Journal of Political Economy, University of Chicago Press, vol. 56, pages 279-279.
    15. Kobberling, Veronika & Wakker, Peter P., 2005. "An index of loss aversion," Journal of Economic Theory, Elsevier, vol. 122(1), pages 119-131, May.
    16. David Peel & David Law & Michael Cain, 2000. "Product bundling and a rule of thumb versus the Harville formulae: can each way bets with UK bookmakers generate abnormal returns," Applied Economics, Taylor & Francis Journals, vol. 32(13), pages 1737-1744.
    17. Henry Stott, 2006. "Cumulative prospect theory's functional menagerie," Journal of Risk and Uncertainty, Springer, vol. 32(2), pages 101-130, March.
    18. Glenn W Harrison & John A List & Charles Towe, 2007. "Naturally Occurring Preferences and Exogenous Laboratory Experiments: A Case Study of Risk Aversion," Econometrica, Econometric Society, vol. 75(2), pages 433-458, March.
    19. Charles A. Holt & Susan K. Laury, 2002. "Risk Aversion and Incentive Effects," American Economic Review, American Economic Association, vol. 92(5), pages 1644-1655, December.
    20. Battalio, Raymond C & Kagel, John H & Jiranyakul, Komain, 1990. "Testing between Alternative Models of Choice under Uncertainty: Some Initial Results," Journal of Risk and Uncertainty, Springer, vol. 3(1), pages 25-50, March.
    21. Chris Starmer, 2000. "Developments in Non-expected Utility Theory: The Hunt for a Descriptive Theory of Choice under Risk," Journal of Economic Literature, American Economic Association, vol. 38(2), pages 332-382, June.
    22. Conlisk, John, 1993. "The Utility of Gambling," Journal of Risk and Uncertainty, Springer, vol. 6(3), pages 255-275, June.
    23. D. Law & D. A. Peel, 2009. "Skewness as an explanation of gambling in cumulative prospect theory," Applied Economics, Taylor & Francis Journals, vol. 41(6), pages 685-689.
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    JEL classification:

    • L83 - Industrial Organization - - Industry Studies: Services - - - Sports; Gambling; Restaurants; Recreation; Tourism


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